Question

If polynomial of degree four is divided ​

Answer 1

Answer:

0

Step-by-step explanation:

x ^ 4 + x ^ 3 + 8 x ^ 2 + a x + b ÷ x ^ 2 + 1

x ^ 4 + x ^ 3 + 8 x ^ 2 + a x + b / x ^ 2 + 1

x ^ 4 + x ^ 3 + 8 x ^ 2 + a x + b / x ^ 2 + 1

x ^ 6 + x ^ 5 + 8 x ^ 4 + a x ^ 3 + b + x ^ 2 / x ^ 2

x ^ 6 + x ^ 5 + 8 x ^ 4 + a x ^ 3 + b + 1 eq. → 1

x ^ 6 + x ^ 5 + 8 x ^ 4 + a x ^ 3 + b + 1 = 0

b = - x ^ 6 - x ^ 5 - 8 x ^ 4 - a x ^ 3 - 1 eq. → 2

eq. → 2 subtute in eq. → 1

x ^ 6 + x ^ 5 + 8 x ^ 4 + a x ^ 3 + ( - x ^ 6 - x ^ 5 - 8 x ^ 4 - a x ^ 3 - 1 ) + 1

x ^ 6 + x ^ 5 + 8 x ^ 4 + a x ^ 3 - x ^ 6 - x ^ 5 - 8 x ^ 4 - a x ^ 3 - 1 + 1

0 + 0 + 0 + 0 + 0

0